1355476752 has 120 divisors (see below), whose sum is σ = 4352709504. Its totient is φ = 385731072.

The previous prime is 1355476751. The next prime is 1355476763. The reversal of 1355476752 is 2576745531.

It is a happy number.

1355476752 is a `hidden beast` number, since 1 + 35 + 547 + 6 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1355476698 and 1355476707.

It is not an unprimeable number, because it can be changed into a prime (1355476751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262548 + ... + 267660.

Almost surely, 2^1355476752 is an apocalyptic number.

1355476752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355476752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176354752).

1355476752 is an abundant number, since it is smaller than the sum of its proper divisors (2997232752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1355476752 is a wasteful number, since it uses less digits than its factorization.

1355476752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5397 (or 5388 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 1355476752 is about 36816.7998609331. The cubic root of 1355476752 is about 1106.7019906145.

The spelling of 1355476752 in words is "one billion, three hundred fifty-five million, four hundred seventy-six thousand, seven hundred fifty-two".